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Finding the Fourth Proportional to 7,708.77, 11,560.73 and 4,008.99

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Solution

The fourth proportional to 7,708.77, 11,560.73 and 4,008.99 is: 6,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.77 : 11,560.73 = 4,008.99 : x
  2. Step 2: Convert to fraction form
    7,708.77/11,560.73 = 4,008.99/x
  3. Step 3: Cross multiply
    7,708.77x = 11,560.73 × 4,008.99
  4. Step 4: Simplify right side
    7,708.77x = 46,346,874.27
  5. Step 5: Solve for x
    x = 46,346,874.27/7,708.77
  6. Step 6: Final answer
    x = 6,012.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.